English

Bounded turning circles are weak-quasicircles

Complex Variables 2011-11-01 v2 Metric Geometry

Abstract

We show that a metric Jordan curve Γ\Gamma is \emph{bounded turning} if and only if there exists a \emph{weak-quasisymmetric} homeomorphism ϕ ⁣:S1Γ\phi\colon \mathsf{S}^1 \to \Gamma.

Keywords

Cite

@article{arxiv.1003.5786,
  title  = {Bounded turning circles are weak-quasicircles},
  author = {Daniel Meyer},
  journal= {arXiv preprint arXiv:1003.5786},
  year   = {2011}
}

Comments

11 pages, 1 figure, to appear in Proc. AMS

R2 v1 2026-06-21T15:04:26.886Z